EDL: Difference between revisions

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==Equal divisions of length==

For an intervallic system with n divisions, [~~http~~://sites.google.com/site/240edo/equaldivisionsoflength%28edl%29 EDL] is considered as equal divisions of length by dividing string length to '''n''' equal divisions (so, we have '''n/2''' divisions per octave). If the first division is '''L1''' and the last, '''Ln''', we have:

For an intervallic system with n divisions, [https://sites.google.com/site/240edo/equaldivisionsoflength%28edl%29 EDL] is considered as equal divisions of length by dividing string length to '''n''' equal divisions (so, we have '''n/2''' divisions per octave). If the first division is '''L1''' and the last, '''Ln''', we have:

:: L1 = L2 = L3 = ... = Ln

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==Relation between Utonality and EDL system==

We can consider EDL system as [~~http~~://en.wikipedia.org/wiki/Otonal Utonal system]. '''Utonality''' is a term introduced by [~~http~~://en.wikipedia.org/wiki/Harry_Partch Harry Partch] to describe chords whose notes are the "undertones" (divisors) of a given fixed tone.

We can consider EDL system as [https://en.wikipedia.org/wiki/Otonal Utonal system]. '''Utonality''' is a term introduced by [https://en.wikipedia.org/wiki/Harry_Partch Harry Partch] to describe chords whose notes are the "undertones" (divisors) of a given fixed tone.

In the other hand, a utonality is a collection of pitches which can be expressed in ratios that have the same numerators. For example, 7/4, 7/5, 7/6 form an utonality which 7 as numerator is called "[http://tonalsoft.com/enc/n/nexus.aspx Numerary nexus]".

If a string is divided into equal parts, it will produce an utonality and so we have EDL system. EDL systems are classified as systems with unequal [http://tonalsoft.com/enc/e/epimorios.aspx epimorios]([~~http~~://en.wikipedia.org/wiki/Superparticular_number Superparticular]) divisions which show descending series with ascending sizes.

If a string is divided into equal parts, it will produce an utonality and so we have EDL system. EDL systems are classified as systems with unequal [http://tonalsoft.com/enc/e/epimorios.aspx epimorios] ([https://en.wikipedia.org/wiki/Superparticular_number Superparticular]) divisions which show descending series with ascending sizes.

==~~Aliquot scales~~==

==Alternate names==

In 1/1, The Journal of the Just Intonation Network, Volume 4, Number 1, Winter 1988, p.6, Michael Sloper refers to this type of scale as an "aliquot scale".

An EDL is the same as an [[IFDO]]. For example, 42-EDL is the same thing as 42ifdo.

==Further Reading==

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[[Category:Edl]]

[[Category:Just intonation]]

[[Category:Subharmonic series]]

@@ Line 1: / Line 1: @@
 ==Equal divisions of length==
-For an intervallic system with n divisions, [http://sites.google.com/site/240edo/equaldivisionsoflength%28edl%29 EDL] is considered as equal divisions of length by dividing string length to '''n''' equal divisions (so, we have '''n/2''' divisions per octave).  If the first division is '''L1''' and the last, '''Ln''', we have:
+For an intervallic system with n divisions, [https://sites.google.com/site/240edo/equaldivisionsoflength%28edl%29 EDL] is considered as equal divisions of length by dividing string length to '''n''' equal divisions (so, we have '''n/2''' divisions per octave).  If the first division is '''L1''' and the last, '''Ln''', we have:
 :: L1 = L2 = L3 = ... = Ln
@@ Line 26: / Line 26: @@
 ==Relation between Utonality and EDL system==
-We can consider EDL system as [http://en.wikipedia.org/wiki/Otonal Utonal system]. '''Utonality''' is a term introduced by [http://en.wikipedia.org/wiki/Harry_Partch Harry Partch] to describe chords whose notes are the "undertones" (divisors) of a given fixed tone.
+We can consider EDL system as [https://en.wikipedia.org/wiki/Otonal Utonal system]. '''Utonality''' is a term introduced by [https://en.wikipedia.org/wiki/Harry_Partch Harry Partch] to describe chords whose notes are the "undertones" (divisors) of a given fixed tone.
 In the other hand, a utonality is a collection of pitches which can be expressed in ratios that have the same numerators.  For example, 7/4, 7/5, 7/6 form an utonality which 7 as numerator is called "[http://tonalsoft.com/enc/n/nexus.aspx Numerary nexus]".
-If a string is divided into equal parts, it will produce an utonality and so we have EDL system.  EDL systems are classified as systems with unequal [http://tonalsoft.com/enc/e/epimorios.aspx epimorios]([http://en.wikipedia.org/wiki/Superparticular_number Superparticular]) divisions which show descending series with ascending sizes.
+If a string is divided into equal parts, it will produce an utonality and so we have EDL system.  EDL systems are classified as systems with unequal [http://tonalsoft.com/enc/e/epimorios.aspx epimorios] ([https://en.wikipedia.org/wiki/Superparticular_number Superparticular]) divisions which show descending series with ascending sizes.
-==Aliquot scales==
+==Alternate names==
 In 1/1, The Journal of the Just Intonation Network, Volume 4, Number 1, Winter 1988, p.6, Michael Sloper refers to this type of scale as an "aliquot scale".
+An EDL is the same as an [[IFDO]]. For example, 42-EDL is the same thing as 42ifdo.
 ==Further Reading==
@@ Line 46: / Line 48: @@
 [[Category:Edl]]
 [[Category:Just intonation]]
+[[Category:Subharmonic series]]